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what is the sample space if roll two dice let X be the random variable


In a batch of 15 jars of instant coffee, 5 have been under filled. Suppose 6 of these jars are selected without replacement. If more than 1 of these selected jars are under filled, the whole batch is sent back for refill. What is the probability of the batch being sent back for refill?



There is a bag filled with 3 blue, 2 red and 4 green marbles. A marble is taken at random from the bag, the colour is noted and then it is not replaced. Another marble is taken at random. What is the probability of getting 2 different colours?


in a batch of 15 jars f instant coffee, 5 have been under filled. suppose of these jars are selected without replacement. if more than one of these selected jars are under filled, the whole batch is sent back to refill. what is the probability the batch being sent back for refill

The lifespan of rats raised in a laboratory is approximately normally distributed with a standard



deviation of 5.9 months. A sample of 31 rats reared to adulthood in a laboratory have a mean life span



of 27.3 months.



a) Find a 95 % confidence interval for the population mean of all rats raised in a laboratory.



b) What can we assert with 95% confidence about the possible size of our error if we estimate the



mean lifespan of all laboratory rats to be 27.3 months?



c) How large a sample is needed if we wish to be 95% confident that our sample mean will be within



3.5 months of the true mean?

The probability that a person, living in a certain city, owns a dog is estimated to be 0.3. Find the probability that the




tenth person randomly interviewed in that city is the fifth one to own a dog

Use the standard normal probability table to find the value z for each of the following.

(a) P (0≤Z≤z) = 0.41 (b) P(Z≥z) = 0.25

(c) P (Z≤z)= 0.95 (d) P(-z≤Z≤z) = 0.88


A farmer believes that using organic fertilizer on his plants will yield greater income.hus average income from the past was php 200 000.00 per year



A.state the null and the alternative hypothesis in symbol.



B.state wether the test is directional or non directional

If a freshman is selected at random to become student assistant, what is the probability of selecting a student with an IQ between 9o and 120?


It is claimed that the mean annual salary of call center customer service representatives






is P188,584.00. A researcher randomly selected 50 call center customer service representatives. He computed the mean of their annual salaries and obtained a mean of P188,600.00.

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